I believe the Hanging Gardens were built in Babylon before Cyrus, thus making them Babylonian and not Persian. The Sistine Chapel isn't Roman at all in the sense that we think of the word. The Temple of Solomon and the Church of the Nativity count to. And, like people have pointed out, Chicken Itza was a Mayan city.
And . . . while on the subject of the wonders: the art for the Hagia Sophia is bad, the four minarets that are in the wonder movie and are around the building in the game were added hundreds of years after it was built, when it was converted into a mosque by the Ottoman Empire. They aren't part of the original structure at all.